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2 years ago

Slice for the missing sides 45-45-90 triangle. show work thank you

Mathematics

1 answer:

Lelu [443]2 years ago

3 0

Answer:

x and y are 5.66 units

Step-by-step explanation:

The triangle above is a right angled triangle ; and can be solved using trigonometric relation :

Using :

Sin 45 = opposite / hypotenus

Opposite = y ; hypotenus = 8

Sin 45 = y/8

y = sin 45 * 8

y = 5.66 units

Side length x ;

Sin 45 = opposite / hypotenus

Sin 45 = x / 8

x = sin 45 * 8

x = 5.66 units

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3 years ago

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lukranit [14]

Answer:

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Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

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Using reduction of power property:

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Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

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3 years ago

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stepan [7]

Answer:

Step-by-step explanation:

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&\uparrow &\uparrow &\uparrow \\
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